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Adding Digits

Problem

Imagine writing down every possible combination of the digits 1, 2, 3, and 4. What would be the sum of all these combinations?

For example, with the digits 1, 2 and 3; there are six combinations and the sum of these combinations is
123 + 132 + 213 + 231 + 312 + 321 = 1332.

Problem ID: 109 (Mar 2003)     Difficulty: 2 Star

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